Jesse works for an engineering firm earning $54,000 per year. Jesse is 53 years old and plans on retiring at age 65. He's considering working part-time so that he can work on another degree. His new degree would take him 3 years to earn and cost a total of $30,000. After getting the degree, Jesse will make $75,000 per year. Do you think that the new degree is worth the investment? Explain your reasoning.

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6

you probably already have the answer but anyways it's b. 15.0

step-by-step explanation:

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4